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Finding the Fourth Proportional to 324,796.04, 447,996.13 and 211,771.88

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Solution

The fourth proportional to 324,796.04, 447,996.13 and 211,771.88 is: 292,100.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    324,796.04 : 447,996.13 = 211,771.88 : x
  2. Step 2: Convert to fraction form
    324,796.04/447,996.13 = 211,771.88/x
  3. Step 3: Cross multiply
    324,796.04x = 447,996.13 × 211,771.88
  4. Step 4: Simplify right side
    324,796.04x = 94,872,982,682.82
  5. Step 5: Solve for x
    x = 94,872,982,682.82/324,796.04
  6. Step 6: Final answer
    x = 292,100.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.